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Application 6.1 UCLR D4 R 1.864(0.38) 0.708 LCLR  D3 R 0.136(0.38) 0.052 © 2007 Pearson Education
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Control Charts for Variables Control Charts - Special Metal Screw R - Charts UCLR = D4R LCLR = D3R R = 0.0020 D4 = 2.282 D3 = 0 UCLR = 2.282 (0.0020) = 0.00456 in. LCLR = 0 (0.0020) = 0 in.
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Getting Started in Fast Track If you’re interested in registering for Fast Track classes, contact one of the following advisors:       Jennifer Beattie 864-646-1333 Andrea Barnett 864-646-1499 Keri Catalfomo 864-646-1621 (Math) Robin Pepper 864-646-1371 (Math) Robin McFall 864-646-1360 (English) Joan Kalley 864-646-1366 (English)
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Learning with Constrained Latent Representation (LCLR): Framework  LCLR provides a general inference formulation that allows that use of expressive constraints  Flexibly adapted for many tasks that require latent representations. LCLR Model  Declarative model Paraphrasing: Model input as graphs, V(G1,2), E(G1,2)  Four Hidden variables:   hv1,v2 – possible vertex mappings; h e1,e2 – possible edge mappings Constraints:    Each vertex in G1 can be mapped to a single vertex in G2 or to null Each edge in G1 can be mapped to a single edge in G2 or to null Edge mapping is active iff the corresponding node mappings are active 4: 0: 139
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Or • 402,387,260,077,093,773,543,702,433,923,003,985,719,374,864,210,714,632,543,799,910,429,938,512,398,629,020,592,044,208,486,969,404,800,479,988,61 0,197,196,058,631,666,872,994,808,558,901,323,829,669,944,590,997,424,504,087,073,759,918,823,627,727,188,732,519,779,505,950,995,276,120,874,975, 462,497,043,601,418,278,094,646,496,291,056,393,887,437,886,487,337,119,181,045,825,783,647,849,977,012,476,632,889,835,955,735,432,513,185,323,95 8,463,075,557,409,114,262,417,474,349,347,553,428,646,576,611,667,797,396,668,820,291,207,379,143,853,719,588,249,808,126,867,838,374,559,731,746, 136,085,379,534,524,221,586,593,201,928,090,878,297,308,431,392,844,403,281,231,558,611,036,976,801,357,304,216,168,747,609,675,871,348,312,025,47 8,589,320,767,169,132,448,426,236,131,412,508,780,208,000,261,683,151,027,341,827,977,704,784,635,868,170,164,365,024,153,691,398,281,264,810,213, 092,761,244,896,359,928,705,114,964,975,419,909,342,221,566,832,572,080,821,333,186,116,811,553,615,836,546,984,046,708,975,602,900,950,537,616,47 5,847,728,421,889,679,646,244,945,160,765,353,408,198,901,385,442,487,984,959,953,319,101,723,355,556,602,139,450,399,736,280,750,137,837,615,307, 127,761,926,849,034,352,625,200,015,888,535,147,331,611,702,103,968,175,921,510,907,788,019,393,178,114,194,545,257,223,865,541,461,062,892,187,96 0,223,838,971,476,088,506,276,862,967,146,674,697,562,911,234,082,439,208,160,153,780,889,893,964,518,263,243,671,616,762,179,168,909,779,911,903, 754,031,274,622,289,988,005,195,444,414,282,012,187,361,745,992,642,956,581,746,628,302,955,570,299,024,324,153,181,617,210,465,832,036,786,906,11 7,260,158,783,520,751,516,284,225,540,265,170,483,304,226,143,974,286,933,061,690,897,968,482,590,125,458,327,168,226,458,066,526,769,958,652,682, 272,807,075,781,391,858,178,889,652,208,164,348,344,825,993,266,043,367,660,176,999,612,831,860,788,386,150,279,465,955,131,156,552,036,093,988,18 0,612,138,558,600,301,435,694,527,224,206,344,631,797,460,594,682,573,103,790,084,024,432,438,465,657,245,014,402,821,885,252,470,935,190,620,929, 023,136,493,273,497,565,513,958,720,559,654,228,749,774,011,413,346,962,715,422,845,862,377,387,538,230,483,865,688,976,461,927,383,814,900,140,76 7,310,446,640,259,899,490,222,221,765,904,339,901,886,018,566,526,485,061,799,702,356,193,897,017,860,040,811,889,729,918,311,021,171,229,845,901, 641,921,068,884,387,121,855,646,124,960,798,722,908,519,296,819,372,388,642,614,839,657,382,291,123,125,024,186,649,353,143,970,137,428,531,926,64 9,875,337,218,940,694,281,434,118,520,158,014,123,344,828,015,051,399,694,290,153,483,077,644,569,099,073,152,433,278,288,269,864,602,789,864,321, 139,083,506,217,095,002,597,389,863,554,277,196,742,822,248,757,586,765,752,344,220,207,573,630,569,498,825,087,968,928,162,753,848,863,396,909,95 9,826,280,956,121,450,994,871,701,244,516,461,260,379,029,309,120,889,086,942,028,510,640,182,154,399,457,156,805,941,872,748,998,094,254,742,173, 582,401,063,677,404,595,741,785,160,829,230,135,358,081,840,096,996,372,524,230,560,855,903,700,624,271,243,416,909,004,153,690,105,933,983,835,77 7,939,410,970,027,753,472,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00 0,000,000,000,000,000,000,000,000,000,000,000,000,000,000 •Whack off 7 of the zeros and divide by three to get the number of years to use Mallows method in a small ML problem 03/19/2019 San Francisco Federal Reserve 2017 18
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RFA Contacts • Payroll Office 864-4385 [email protected] – Melissa Bissey 864-4016 [email protected] – Mobin Faghan 864-4387 [email protected] • KU Office of Research – Kara Wozniak 864-7428 – Rensi Yu 864-6387 [email protected] [email protected]
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I titrate an unknown solution using a class A Ubur = 0.05 mL 50 mL burette. My results show standard deviation of 0.05 mL. How many mesurements I need 2 2 in order to get confidence interval of ±0.01 mL? total bur random u  u u 12.7 0.05  0.44 2 utotal  0.442  0.052 0.44 3.18 0.05 0.08 4 utotal  0.082  0.052 0.095 2.3 0.05 0.038 9 utotal  0.0382  0.052 0.06 2.1 0.05 0.02 20 utotal  0.022  0.052 0.054 1.98 0.05  0.009 N=120 120 utotal  0.0092  0.052 0.05 N=2 N=4  N=9  N=20 
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Control Limits The control limits for the x-chart are: UCL–x = =x + A2R and LCLx–= x=- A2R Where = X = central line of the chart, which can be either the average of past sample means or a target value set for the process. A2 = constant to provide three-sigma limits for the sample mean. The control limits for the R-chart are UCLR = D4R and LCLR = D3R where R = average of several past R values and the central line of the chart. D3,D4 = constants that provide 3 standard deviations (three-sigma) limits for a given sample size. © 2007 Pearson Education
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West Allis Industries R-chart Control Chart Factors Example 6.1 Factor Size of for Sample Charts (n) Factor for UCL Factor for and LCL for LCL for x-Charts R-Charts (A2) (D3) 2 1.880 0 3.267 3 1.023 0 R = 0.0021 2.575 4 0.729 0 D4 = 2.282 2.282 5 0.577 0 UCLR = D4R = 2.282 (0.0021) = 0.00479 in. D3 = 0 2.115 LCLR = D3R 0.483 0 (0.0021) = 0 in. 0 © 2007 Pearson Education 6 2.004 UCL R(D4)
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Math Program Requirement  The program requirement for DA is MTH 052 Math for Introductory Physical Science or higher  Students must demonstrate and complete MTH 052 or higher prior to Fall Entry.  MTH 052 prerequisite by placement testing into MTH 052 or completion of MTH 020 Math Renewal within one academic year. • Courses completed at other schools must be considered equivalent or be approved for use in the application.
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Simulation Results of Single Point Optimization Partial solution set generated by the evolutionary strategy Gain in Drive Gain in algorithm Solution Solution Drive Train Tower Gain in Train Tower Power No. (TV, BPA) Acceleration 1 2 3 4 5 6 7 (90.0, 8.81) (90.0, 7.34) (63.9, 15.00) (67.6, 15.00) (50.9, -3.23) (90.0, 8.09) (63.4, 15.00) 136.86 136.85 136.96 136.71 122.57 136.88 136.98 Acceleration 7.17% 7.18% 7.10% 7.27% 16.86% 7.15% 7.09% Acceleration 160.61 164.47 119.42 120.34 356.37 162.46 119.41 Acceleration 2.45% 0.10% 27.47% 26.90% -116.45% 1.33% 27.48% Power 1460.96 1460.80 1007.14 1031.21 785.72 1462.77 1005.11 -1.58% -1.59% -32.16% -30.53% -47.07% -1.46% -32.29%
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KU Office of Research Pre-Award Services Contacts [email protected] Nancy Biles Associate Director 864-7434, [email protected] Team 1 Brad Bernet 864-7465 [email protected] Team 2 Team 3 Jessica Brown Megan Todd 864-4777 864-7782 [email protected] [email protected] http://research.ku.edu/Team_Assignments_Pre_Award_Post_Award 1
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R Chart Control Limits UCLR D4 R Table 10.3, p.433 LCLR D3 R k  Ri R  i 1 k Sample Range at Time i # Samples
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R Chart Control Limits k R  R i 1 k i 3 . 85  4 . 27  ...  4 . 22   3 . 894 7 UCLR D4 * R 2.11 * 3.894 8.232 LCLR D3 * R 0 * 3.894 0 D3 , D4 from Table 10.3
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Control Charts for Variables Control Charts - Special Metal Screw R - Charts UCLR = D4R LCLR = D3R R = 0.0020
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Range Chart - Special Metal Screw 0.005 UCLR = 0.00456 Range (in.) 0.004 0.003 0.002 R = 0.0020 0.001 0 LCLR = 0 1 2 3 4 Sample number 5 6
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